At a certain party, an executive committee provided one soda for 8 people, one large bag of chips for 4 people, and one cheese cake for 6 people. If the total number of sodas, large bag of chips, and cheese cakes was 78, how many people were at the party?

Guest Jul 4, 2019

#1**+1 **

Call the number of people, N

So....the number of sodas = N / 8

The number of bags of chips = N / 4

The number of cheesecakes = N / 6

And the total of these = 78

So we have

N /8 + N /4 + N/6 = 78 the common denominator = 24, so....

3N + 6N + 4N

___________ = 78 multiply both sides by 24

24

13N = 78 * 24 divide both sides by 13

N = (78/13) * 24

N = 6 * 24

N = 144 people

CPhill Jul 4, 2019